Tracking MSE performance analysis of the ∈-NSLMS algorithm

Author

Faiz, Mohammed Mujahid Ulla ; Zerguine, Azzedine ; Asad, Syed Muhammad ; Mahmood, Khalid

Author_Institution

Electr. & Electron. Eng. Technol.Unit, Hafr Al-Batin Community Coll., Hafr Al-Batin, Saudi Arabia

fYear

2015

fDate

17-19 Feb. 2015

Firstpage

1

Lastpage

4

Abstract

In this paper, the tracking behavior of the ∈-normalized sign-error least mean square (NSLMS) algorithm is analyzed in the presence of white and correlated Gaussian regressors. Moreover, generic analytical expressions are derived for the optimal step-size and the corresponding optimal mean square error (MSE) of the ∈-NSLMS algorithm for both the real- and complex-valued data cases. Additionally, a comparison between the convergence behavior of the ∈-NSLMS algorithm and the ∈-normalized least mean square (NLMS) algorithm is also discussed. Finally, simulation results to corroborate our theoretical findings are presented.

Keywords

Gaussian processes; correlation methods; least mean squares methods; signal processing; ∈-NSLMS algorithm; MSE performance analysis; correlated Gaussian regressor; normalized sign error least mean square algorithm; optimal mean square error; white Gaussian regressor; AWGN; Algorithm design and analysis; Convergence; Optimized production technology; Signal processing algorithms; Simulation; LMS; NLMS; NSLMS; SLMS; Tracking;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Signal Processing, and their Applications (ICCSPA), 2015 International Conference on

Conference_Location

Sharjah

Type

conf

DOI

10.1109/ICCSPA.2015.7081323

Filename

7081323